Callisto orbits Jupiter at an average distance of 1.88 106 km with an orbital period of 0.0457 yr. Pluto, which is one of the satellites of the Sun, orbits its parent at an average distance of 5.90 109 km with an orbital period of 248.3 yr.
(a)
Use the above information to find the orbital speeds of Callisto around Jupiter and of Pluto around the Sun.
vCallisto
=8.2 m/s??
vPluto
=4.7m/s
(b)
What is the expression for the mass M of the parent in terms of the orbital speed v of the satellite, the orbital radius R of the satellite and the gravitational constant G? (Do not substitute numerical values; use variables only.)
M = (v^2r)/g
so for A I tried the equation 2pir/T = velocity and I converted the time from years to seconds for that. The number seem a bit low... I also wasn't sure how to do B. I set v^2/r equal to GM/r^2 because I figured in this scenario centripetal acceleration would be provided by g because that's the only thing impacting it.
2 answers
I'm doing it again and my answers are definitely wrong. I'm so confused somebody help :(
spent 3 hours working on this problem and gave up. thanks so much <3
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